This is a very interesting combination of two genres, and I think I've never seen anything like this before. Kudos on that. The game plays nicely, especially the physics feels good, which I think pinball games really need to focus on. I must admit that I am never good with pinball games, but I do think both physics and gameplay are a bit on the slow side, especially when there is a lot of waiting during the battle section. Given the constant switch between two game modes, I think it would be a lot cooler if the player spent less time on each one and made the switching more frequent.
Anyway, good job in making this game! I enjoyed it quite a lot!